Containers A and B have same gases. Pressure, volume and temperature of A are all twice that of B, then the ratio of number of molecules of A and B are

Options

A. `1:2`
B. 2
C. `1:4`
D. 4

Answer

B

Explanation

According to gas law
PV = nRT , n = (PV)/(RT)`
`(n_A)/(n_B) = ( (P_1V_1)/(RT_1))/( (P_2V_2)/(RT_2)) , n_A/n_B = (P_1V_1)/(T_1) xx (T_2)/(P_2V_2)`
`n_A/n_B = (2P xx 2V)/(2T) xx (T)/(PV) , n_A/n_B = 2/1`